43 citations · 149 across the 103 of their papers we have counts for
6 papers · 1 filter
Variational Convexity of Functions in Banach Spaces
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockaf…
Optimal Control of a Quasi-Variational Sweeping Process
Harbir Antil, Rafael Arndt, Boris S. Mordukhovich +2
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionle…
Variational Convexity of Functions and Variational Sufficiency in Optimization
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat
The paper is devoted to the study, characterizations, and applications of variational convexity of functions, the property that has been recently introduced by Rockafellar together…
Inexact reduced gradient methods in nonconvex optimization
Pham Duy Khanh, Boris S. Mordukhovich, Dat Ba Tran
This paper proposes and develops new linesearch methods with inexact gradient information for finding stationary points of nonconvex continuously differentiable functions on finite…
Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions
Aram V. Arutyunov, Boris S. Mordukhovich, Sergey E. Zhukovskiy
The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important topics in variational ana…
Revisiting Rockafellar's Theorem on Relative Interiors of Convex Graphs with Applications to Convex Generalized Differentiation
Dang Van Cuong, Boris Mordukhovich, Nguyen Mau Nam +1
In this paper we revisit a theorem by Rockafellar on representing the relative interior of the graph of a convex set-valued mapping in terms of the relative interior of its domain…